3(x-3)-5(1-x)=-1

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Solution for 3(x-3)-5(1-x)=-1 equation:


Simplifying
3(x + -3) + -5(1 + -1x) = -1

Reorder the terms:
3(-3 + x) + -5(1 + -1x) = -1
(-3 * 3 + x * 3) + -5(1 + -1x) = -1
(-9 + 3x) + -5(1 + -1x) = -1
-9 + 3x + (1 * -5 + -1x * -5) = -1
-9 + 3x + (-5 + 5x) = -1

Reorder the terms:
-9 + -5 + 3x + 5x = -1

Combine like terms: -9 + -5 = -14
-14 + 3x + 5x = -1

Combine like terms: 3x + 5x = 8x
-14 + 8x = -1

Solving
-14 + 8x = -1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + 8x = -1 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = -1 + 14
8x = -1 + 14

Combine like terms: -1 + 14 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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